Finding the Third Proportional to 127,757.25 and 268,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,757.25 : 268,744.50 = 268,744.50 : x
2. Step 2: Convert to fraction form
   127,757.25/268,744.50 = 268,744.50/x
3. Step 3: Cross multiply
   127,757.25x = 268,744.50 × 268,744.50
4. Step 4: Simplify right side
   127,757.25x = 72,223,606,280.25
5. Step 5: Solve for x
   x = 72,223,606,280.25/127,757.25
6. Step 6: Final answer
   x = 565,319.04